Q: What are the prime factors of the number 60,004,704?

 A: 2, 3, 173, 3613

Why are those the prime factors of the number 60,004,704?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 60,004,704

60,004,704
Factor Arrows
230,002,352
Factor Arrows
215,001,176
Factor Arrows
27,500,588
Factor Arrows
23,750,294
Factor Arrows
21,875,147
Factor Arrows
3625,049
Factor Arrows
1733,613

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 173, 3613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 173 x 3,613 = 60,004,704

This can also be written as 25 x 31 x 1731 x 3,6131 = 60,004,704

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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